The value of the present value of a sequence of payments of $\displaystyle$$\displaystyle \text{Rs }$80 made at the end of each $\displaystyle 6$ months and continuity forever, if money is worth $\displaystyle 4\%$ compounded semi-annually is

A sum of money invested in compounded interest doubles itself in four years. In how many years it becomes 32 times of itself as the same rate of compound interest?

The simple interest on $600$ for 9 months is $27$. Find the interest rate.

Miss Liza lent $4,000$ in such a way that some amount was given to Mr. A at $3\%$ p.a. S.I. and rest amount to was given to B at $5\%$ p.a. S.I., the annual interest from both is $144$. Find the amount lent to Mr. A.

A certain sum of money was put at S.I. for $2.5$ years at a certain rate of S.I. p.a. Had it been put at $4\%$ higher rate, it would have fetched $500$ more. Find the sum of money.

Rs.$1,25,000$ is borrowed at compound interest at the rate of $2\%$ for the 1st year, $3\%$ for the second year and $4\%$ for the 3rd year. Find the amount to be paid after 3 years.

If $\displaystyle$$\displaystyle \text{Rs. }$1,000 be invested at interest rate of $\displaystyle 5\%$ and the interest be added to the principal every $10$ years, then the number in years in which it will amount to $$\displaystyle \text{Rs. }$2,000$ is: